Scott, Heba, Paul, Danica- Data

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Data

Rocket Engine	B6-4
Mass of rocket with unused B6-4 engine	0.0744kg
Mass of rocket with used B6-4 engine	0.0742kg
Time Up	4.6s
Time Down	8.7s
Angle	45˚
Recovery System Deploys	No

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Analysis


The following calculations for the data above do not take into consideration air resistance, but are theoretical.

Average mass of rocket during thrust phase = (74.4g + 74.2g)/2 = 74.3g

Altitude achieved = 50m(tan45°) = 50m

Average velocity during ascent:
vavg = Δd/Δt = 50m/4.6s ≅ 11m/s

Average velocity during descent:
vavg = Δd/Δt = 50m/8.7s ≅ 6m/s

Force of gravity on the rocket:
Fg = ma
Fg = 0.0743kg(9.8m/s2)
Fg ≅ 0.73N

Acceleration during the thrust phase (The thrust produced by a B6-4 engine is 6N):
Fnet = ma
(6 – 0.73)N= 0.0743kg(a)
a ≅ 71m/s2

Maximum velocity achieved during thrust phase, given a B6-4 engine thrusts for 0.81s:
V2 = V1 + at
V2 = 0m/s + (71m/s2)(0.81s)
V2 ≅ 58m/s …(1)

Velocity of rocket upon impact with ground, considering that the parachute did not deploy:
V2 = V1 + at
V2 = 0m/s + (9.8m/s2)(8.7s)
V2 ≅ -85m/s …(2)


From the time data and lines (1) and (2) above, a velocity-time graph may be drawn.

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